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Finding the Third Proportional to 455,881.50 and 708,895.13

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Solution

The third proportional to 455,881.50 and 708,895.13 is: 1,102,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,881.50 : 708,895.13 = 708,895.13 : x
  2. Step 2: Convert to fraction form
    455,881.50/708,895.13 = 708,895.13/x
  3. Step 3: Cross multiply
    455,881.50x = 708,895.13 × 708,895.13
  4. Step 4: Simplify right side
    455,881.50x = 502,532,298,248.77
  5. Step 5: Solve for x
    x = 502,532,298,248.77/455,881.50
  6. Step 6: Final answer
    x = 1,102,330.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.